%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET199+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:50:03 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 81 ( 31 ~; 36 |; 9 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 7 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI46,conjecture,
! [X1,X3,X5] :
( ( subset(X1,X3)
& subset(X1,X5) )
<=> subset(X1,intersection(X3,X5)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thI46) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X3,X5] :
( ( subset(X1,X3)
& subset(X1,X5) )
<=> subset(X1,intersection(X3,X5)) ),
inference(assume_negation,[status(cth)],[thI46]) ).
fof(c_0_4,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk4_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk4_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).
fof(c_0_5,negated_conjecture,
( ( ~ subset(esk1_0,esk2_0)
| ~ subset(esk1_0,esk3_0)
| ~ subset(esk1_0,intersection(esk2_0,esk3_0)) )
& ( subset(esk1_0,esk2_0)
| subset(esk1_0,intersection(esk2_0,esk3_0)) )
& ( subset(esk1_0,esk3_0)
| subset(esk1_0,intersection(esk2_0,esk3_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X4,X5)
| ~ member(X4,intersection(X5,X6)) )
& ( member(X4,X6)
| ~ member(X4,intersection(X5,X6)) )
& ( ~ member(X4,X5)
| ~ member(X4,X6)
| member(X4,intersection(X5,X6)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])])]) ).
cnf(c_0_7,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( subset(esk1_0,intersection(esk2_0,esk3_0))
| subset(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( member(X1,intersection(esk2_0,esk3_0))
| subset(esk1_0,esk2_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( subset(esk1_0,intersection(esk2_0,esk3_0))
| subset(esk1_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_7]) ).
cnf(c_0_13,plain,
( subset(X1,X2)
| member(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( member(X1,intersection(esk2_0,esk3_0))
| subset(esk1_0,esk3_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_16,plain,
( subset(X1,X2)
| ~ member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( member(esk4_2(esk1_0,X1),esk2_0)
| subset(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( member(X1,esk3_0)
| ~ member(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7]) ).
cnf(c_0_19,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( ~ subset(esk1_0,intersection(esk2_0,esk3_0))
| ~ subset(esk1_0,esk3_0)
| ~ subset(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
subset(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( member(esk4_2(esk1_0,X1),esk3_0)
| subset(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_23,plain,
( subset(X1,intersection(X2,X3))
| ~ member(esk4_2(X1,intersection(X2,X3)),X3)
| ~ member(esk4_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( ~ subset(esk1_0,intersection(esk2_0,esk3_0))
| ~ subset(esk1_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_25,negated_conjecture,
subset(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( subset(esk1_0,intersection(X1,esk3_0))
| ~ member(esk4_2(esk1_0,intersection(X1,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
~ subset(esk1_0,intersection(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET199+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 01:58:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.014 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 29
% 0.22/1.40 # Proof object clause steps : 22
% 0.22/1.40 # Proof object formula steps : 7
% 0.22/1.40 # Proof object conjectures : 18
% 0.22/1.40 # Proof object clause conjectures : 15
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 9
% 0.22/1.40 # Proof object initial formulas used : 3
% 0.22/1.40 # Proof object generating inferences : 11
% 0.22/1.40 # Proof object simplifying inferences : 7
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 12
% 0.22/1.40 # Removed by relevancy pruning/SinE : 9
% 0.22/1.40 # Initial clauses : 9
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 9
% 0.22/1.40 # Processed clauses : 145
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 24
% 0.22/1.40 # ...remaining for further processing : 121
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 1
% 0.22/1.40 # Backward-rewritten : 12
% 0.22/1.40 # Generated clauses : 478
% 0.22/1.40 # ...of the previous two non-trivial : 467
% 0.22/1.40 # Contextual simplify-reflections : 12
% 0.22/1.40 # Paramodulations : 478
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 108
% 0.22/1.40 # Positive orientable unit clauses : 55
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 1
% 0.22/1.40 # Non-unit-clauses : 52
% 0.22/1.40 # Current number of unprocessed clauses: 320
% 0.22/1.40 # ...number of literals in the above : 588
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 13
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 416
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 411
% 0.22/1.40 # Non-unit clause-clause subsumptions : 37
% 0.22/1.40 # Unit Clause-clause subsumption calls : 209
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 86
% 0.22/1.40 # BW rewrite match successes : 4
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 7810
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.026 s
% 0.22/1.40 # System time : 0.003 s
% 0.22/1.40 # Total time : 0.029 s
% 0.22/1.40 # Maximum resident set size: 3344 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------